Engineering Sciences

Faculty of the School of Engineering and Applied Sciences Offering Instruction in Engineering Sciences

Donald G. M. Anderson, Gordon McKay Professor of Applied Mathematics (on leave spring term)
Debra T. Auguste, Assistant Professor of Biomedical Engineering on the Gordon McKay Endowment, Tutor in Biochemical Sciences
Roger W. Brockett, An Wang Professor of Electrical Engineering and Computer Science (on leave spring term)
Federico Capasso, Robert L. Wallace Professor of Applied Physics
Kenneth B. Crozier, Assistant Professor of Electrical Engineering on the Gordon McKay Endowment
Marie D. Dahleh, Lecturer on Engineering Sciences (Assistant Director of Undergraduate Studies)
Cornelia Dean, Visiting Lecturer on Engineering Sciences
David A. Edwards, Gordon McKay Professor of the Practice of Biomedical Engineering
Thomas C. Esselman, Lecturer on Engineering Sciences (fall term only)
Brian F. Farrell, Robert P. Burden Professor of Meteorology
Donhee Ham, John L. Loeb Associate Professor of the Natural Sciences
Colleen M. Hansel, Assistant Professor of Environmental Microbiology on the Gordon McKay Endowment
Paul Horowitz, Professor of Physics and of Electrical Engineering
Robert D. Howe, Gordon McKay Professor of Engineering
John W. Hutchinson, Abbott and James Lawrence Professor of Engineering and Gordon McKay Professor of Applied Mechanics
Daniel J. Jacob, Vasco McCoy Family Professor of Atmospheric Chemistry and Environmental Engineering
Navin Khaneja, Gordon McKay Professor of Electrical Engineering
Zhiming Kuang, Assistant Professor of Climate Science
H. T. Kung, William H. Gates Professor of Computer Science and Electrical Engineering
Marko Loncar, Assistant Professor of Electrical Engineering on the Gordon McKay Endowment
L. Mahadevan, Lola England Professor of Applied Mathematics
Scot T. Martin, Gordon McKay Professor of Environmental Chemistry
Michael B. McElroy, Gilbert Butler Professor of Environmental Studies
Ralph Mitchell, Gordon McKay Professor of Applied Biology
David J. Mooney, Gordon McKay Professor of Bioengineering
Venkatesh Narayanamurti, John A. and Elizabeth S. Armstrong Professor of Engineering and Applied Sciences, Professor of Physics
Kevin K. Parker, Assistant Professor of Biomedical Engineering on the Gordon McKay Endowment
Shriram Ramanathan, Assistant Professor of Materials Science on the Gordon McKay Endowment
James R. Rice, Mallinckrodt Professor of Engineering Sciences and Geophysics
Peter P. Rogers, Gordon McKay Professor of Environmental Engineering
Maurice A. Smith, Assistant Professor of Bioengineering on the Gordon McKay Endowment
Howard A. Stone, Vicky Joseph Professor of Engineering and Applied Mathematics (on leave spring term)
Zhigang Suo, Allen E. and Marilyn M. Puckett Professor of Mechanics and Materials (Director of Undergraduate Studies) (on leave spring term)
Vahid Tarokh, Perkins Professor of Applied Mathematics
Joost J. Vlassak, Gordon McKay Professor of Materials Engineering
Mai H. Vu, Lecturer on Engineering Sciences
Gu-Yeon Wei, Associate Professor of Electrical Engineering on the Gordon McKay Endowment
Steven C. Wofsy, Abbott Lawrence Rotch Professor of Atmospheric and Environmental Science
Patrick J. Wolfe, Assistant Professor of Electrical Engineering on the Gordon McKay Endowment
Robert J. Wood, Assistant Professor of Electrical Engineering on the Gordon McKay Endowment
Woodward Yang, Gordon McKay Professor of Electrical Engineering and Computer Science
Todd Zickler, Assistant Professor of Electrical Engineering on the Gordon McKay Endowment

Other Faculty Offering Instruction in Engineering Sciences

Frederick H. Abernathy, Gordon McKay Professor of Mechanical Engineering and Abbott and James Lawrence Professor of Engineering
Daniel M. Merfeld, Associate Professor of Otology and Laryngology (Medical School)

The School of Engineering and Applied Sciences (www.seas.harvard.edu) offers undergraduate and graduate courses in Applied Mathematics, Applied Physics, Computer Science, Earth and Planetary Sciences, and Engineering Sciences. Recommended course programs at the undergraduate level may be obtained from the Academic Office, Pierce Hall 110. Engineering and Applied Sciences faculty also offer several courses in the section entitled Freshman Seminars, Extra-Departmental Courses, and House Seminars.

For information concerning concentration in Engineering Sciences, please consult the Co-Directors of Undergraduate Studies or the Academic Office, School of Engineering and Applied Sciences, Pierce Hall 110.

Primarily for Undergraduates

Engineering Sciences 6. Environmental Science and Technology
Catalog Number: 2969
Scot T. Martin
Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
An introduction to the role of technology in environmental sciences with an emphasis on solving problems concerning human use and control of the environment. Cases from aquatic, terrestrial, and atmospheric environments are discussed. In each setting the basic scientific principles underlying engineering control are emphasized. Occasional field trips are part of the course. The course presumes basic knowledge in chemistry, physics, and mathematics at the high school level.
Note: This course, when taken for a letter grade, meets the Core area requirement for Science B.

*Engineering Sciences 50. Introduction to Electrical Engineering
Catalog Number: 4499
Marko Loncar
Half course (spring term). M., W., F., at 2. EXAM GROUP: 7
A discussion of topics of central importance to the fields of electronics, communications and intelligent systems. The material concerns both qualitative and quantitative analysis, as well as laboratory experiments and computer simulations. Examples of topics to be discussed range from relatively simple modules such as analog amplifiers and digital adders, to complex devices such as cell-phones and their supporting infrastructure.
Note: Students who have taken 100-level courses in electrical engineering will not be allowed to enroll in Engineering Sciences 50. This course, when taken for a letter grade, meets the Core area requirement for Science A.

[Engineering Sciences 51. Computer-Aided Machine Design]
Catalog Number: 0322
Robert D. Howe
Half course (fall term). M., W., F., at 1. EXAM GROUP: 6
A first course in the design and construction of mechanical and electromechanical devices. Engineering graphics and sketching; dimensions and tolerances. Introduction to materials selection and structural design. Machine elements and two-dimensional mechanisms; DC motors. Design methodology. Emphasis on laboratory work and design projects using professional solid modeling CAD software and numerically controlled machine tools.
Note: Expected to be given in 2009–10. Intended for freshmen and sophomores. This course, when taken for a letter grade, meets the Core requirement for Science A.
Prerequisite: Mathematics 1b (may be taken concurrently); high school physics.

Engineering Sciences 53. Quantitative Physiology as a Basis for Bioengineering
Catalog Number: 3604
Maurice A. Smith
Half course (spring term). Tu., Th., 8–9:30, and three hours per week of laboratory to be arranged. EXAM GROUP: 10, 11
A foundation in human organ systems physiology, including cardiac, respiratory, renal, gastrointestinal, and neural systems. Quantitative description of organ systems function and control in terms of physical principles and physiologic mechanisms. Simple mathematical models representing key aspects of organ systems function. Emphasis will be given to understanding the ways in which dysfunction in these systems gives rise to common human disease processes.
Note: Open to freshmen.

*Engineering Sciences 91r. Supervised Reading and Research
Catalog Number: 1113
Zhigang Suo and Marie D. Dahleh
Half course (fall term; repeated spring term). Hours to be arranged.
Guided reading and research.
Note: Normally open to candidates accepted for work on a specific topic by a member of the teaching staff of the Division of Engineering and Applied Sciences. Normally may not be taken for more than two terms; may be counted for concentration in Engineering Sciences if taken for graded credit. Applicants should file a project sheet before study cards are filed. Project sheets may be obtained from the Academic Office, Pierce Hall 110.

*Engineering Sciences 96. Engineering Design Seminar
Catalog Number: 8461 Enrollment: Limited to 25.
Robert D. Howe
Half course (spring term). M., Th., 4–5:30. EXAM GROUP: 9, 18
Group project selected to provide experience in the processes and practice of engineering problem definition and solution as well as design and evaluation. As part of the course, the class may participate in off-site field trips. The design seminar is ordinarily taken in the spring term of the junior year.
Note: Preference given to SB candidates.

Cross-listed Courses

*Freshman Seminar 21s. Germs

For Undergraduates and Graduates

Additional courses of interest to students in Electrical Engineering include: Computer Sciences 141, 143, and 148.


*Engineering Sciences 100. Engineering Design Projects
Catalog Number: 4268
Robert J. Wood
Half course (fall term; repeated spring term). Th., 4–6. EXAM GROUP: 18
Individual design projects selected to provide experience in the processes and practice of engineering design. Requires proficiency in electronic circuit construction as well as mechanical materials fabrication techniques.
Note: Ordinarily taken in the senior year. This one-term version of Engineering Sciences 100hf is open only to students in special circumstances. Enrolled students are required to file a proposed project form with the Academic Office early in the term. Project approval rests with the faculty Engineering Design Review Board.
Prerequisite: *Engineering Sciences 96.

*Engineering Sciences 100hf. Engineering Design Projects
Catalog Number: 7535
Robert J. Wood
Half course (throughout the year). Th., 4–6. EXAM GROUP: 18
Individual design projects selected to provide experience in the processes and practice of engineering design. Requires proficiency in electronic circuit construction as well as mechanical fabrication techniques.
Note: Ordinarily taken in the senior year. Enrolled students are required to file a proposed project form with the Academic Office early in the term. Project approval rests with the faculty Engineering Design Review Board.
Prerequisite: *Engineering Sciences 96.

[Engineering Sciences 103. Spatial Analysis of Environmental and Social Systems]
Catalog Number: 9277
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Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Introduces the fundamental statistical and mapping tools needed for analysis of environmental systems. Topics will be linked by environmental and social themes and will include GIS concepts; data models; spatial statistics; density mapping; buffer zone analysis; surface estimation; map algebra; suitability modeling. Students will acquire technical skills in both mapping and spatial analysis. Software packages used will include ArcGis. There will be guest lectures by researchers and practitioners who use GIS for spatial analysis.
Note: Expected to be given in 2009–10.
Prerequisite: Applied Mathematics 21 or equivalent.

Engineering Sciences 109. Science Fictions
Catalog Number: 5988
Cornelia Dean
Half course (spring term). Th., 1–4. EXAM GROUP: 15, 16, 17
Political, economic or other imperatives skew public debates on issues in which science plays an important part. Seminar discusses why this is possible and how it plays out. Will deal with the public’s knowledge of and attitudes toward science, the way people reason and perceive risk, the privatization of the nation’s research agenda, and the politicization of science.

Engineering Sciences 120. Introduction to the Mechanics of Solids
Catalog Number: 1493
Joost J. Vlassak
Half course (spring term). M., W., F., at 1. EXAM GROUP: 6
A first course in the mechanical sciences which introduces elements of continuum mechanics and explains how materials and structures stretch, bend, twist, shake, buckle, and break. Stress-strain behavior of materials. Statically determinate and indeterminate structures. Stress and strain, equations of motion or equilibrium, strain-displacement relations. Stress waves. Torsion. Beam theory with applications to beam deflections, vibrations, and buckling. Four laboratory sessions required.
Prerequisite: Physics 11a or 15a, and Applied Mathematics 21a or Mathematics 21a (previously) and Applied Mathematics 21b or Mathematics 21b (previously or concurrently).

*Engineering Sciences 122. Cellular Engineering
Catalog Number: 8439
Kevin K. Parker
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Summary of the physical laws governing cellular homeostasis; role of the tissue microenvironment on cell life, death, and differentiation; control of cellular function and genetic programs by adhesion to substrates; signal transduction pathways and cellular metabolic control; mechanochemical and mechanoelectrical signal transduction; cell motility; clinical and industrial applications of engineered cells.
Prerequisite: Inorganic chemistry, cell biology, physics, and mathematics at the level of Applied Mathematics 21 or Mathematics 21. Suggested courses include organic chemistry and molecular biology.

Engineering Sciences 123. Introduction to Fluid Mechanics and Transport Processes
Catalog Number: 8323
Debra T. Auguste
Half course (spring term). M., W., F., at 10, and laboratory. EXAM GROUP: 3
Dimensional analysis. Basic elements of steady and unsteady thermal conduction and mass diffusion. Statics and dynamics of fluids. Buoyancy-stability and hydrostatics. Laminar viscous flows, potential flows, origin of lift, and basic aspects of boundary layers. Navier-Stokes and continuity equations. Applications in aerodynamics, biomedical, chemical, environmental, and mechanical engineering, biology, and physics. Introduction to finite-element computational software.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b.

Engineering Sciences 125. Mechanical Systems
Catalog Number: 7274
Robert D. Howe
Half course (fall term). M., W., F., at 1. EXAM GROUP: 6
Modeling and analysis of mechanical and electromechanical systems. Topics include 3D rigid body dynamics, resonance, damping, frequency response, Laplace transform methods, Lagrange’s equations, multiple degree-of-fredom systems and an introduction to nonlinear vibration, continuous systems, and control. Analytical modeling will be supplemented with numerical simulations and lab experiments. Laboratory exercises will explore vibration, stabilization, and nonlinear systems using data acquisition systems.
Note: May not be taken for credit in addition to Physics 151.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b or Mathematics 23a,b; Physics 11a or 15a.

[Engineering Sciences 128. Computational Solid and Structural Mechanics]
Catalog Number: 0359
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Half course (fall term). M., W., F., at 10, and a weekly section to be arranged. EXAM GROUP: 3
Foundations of continuum mechanics, conservation laws, stress, strain, and constitutive behavior. Development of elasticity theory. Basic problems of stressing and deformation. Focus on computer analysis using the finite-element method. Plane stress and strain, torsion, wave propagation, vibrations, thin-walled structures, creep, plasticity and fracture. In computer implementation, students develop simple finite-element analyses using the general-purpose program ABAQUS, and do a project addressing a significant problem arising in mechanical, civil or materials engineering, biomechanics, or earth science.
Note: Expected to be given in 2009–10. Students who wish to cover the same material at a more advanced level should take Engineering Sciences 240.
Prerequisite: Engineering Sciences 120 or equivalent introduction to the mechanics of deformable materials.

Engineering Sciences 130. Tissue Engineering
Catalog Number: 3169
David J. Mooney
Half course (spring term). Tu., Th., 1–2:30, and a weekly lab. EXAM GROUP: 15, 16
Fundamental engineering and biological principles underlying field of tissue engineering, along with examples and strategies to engineer specific tissues for clinical use. Students will prepare a paper in the field of tissue engineering, and participate in a weekly laboratory in which they will learn and use methods to fabricate materials and perfom 3-D cell culture.
Prerequisite: Biochemistry or cell biology background.

Engineering Sciences 139. Innovation in Science and Engineering: Conference Course
Catalog Number: 0994 Enrollment: Limited to 28.
Thomas C. Esselman
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Explores factors and conditions contributing to innovation in science and engineering; how important problems are found, defined, and solved; roles of teamwork and creativity; and applications of these methods to other endeavors. Students receive practical and professional training in techniques to define and solve problems, and in brainstorming and other individual and team approaches.
Note: Taught through a combination of lectures, discussions, and exercises led by innovators in science, engineering, arts, and business.

Engineering Sciences 145. Physiological Systems Analysis
Catalog Number: 8197
Daniel M. Merfeld (Medical School)
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
A survey of systems theory with applications from bioengineering and physiology. Analysis: differential equations, linear and nonlinear systems, stability, the complementary nature of time and frequency domain methods, feedback, and biological oscillations. Applications: nerve function, muscle dynamics, cardiovascular regulation. Laboratory: neural models, feedback control systems, properties of muscle, cardiovascular function.
Prerequisite: Applied Mathematics 21b or Mathematics 21b or equivalent. Physiology at the level of Engineering Sciences 53 suggested.

*Engineering Sciences 147. Idea Translation: Effecting Change through the Arts and Sciences
Catalog Number: 9676 Enrollment: Limited to 30.
David A. Edwards
Half course (fall term). M., 1–4. EXAM GROUP: 6, 7, 8
How do Art and Science fuse to produce breakthrough ideas in global health, culture, and industry? This introduction to idea generation and development focuses on how idea creations evolve from a passionate will to effect change. Students from all disciplines are guided by experts in their field throughout the semester to translate their own projects. Significant in class time devoted to group projects. Factors of effective idea translation focused through case studies, debates, and interaction with visiting leaders. (e.g. Global health experts, entrepreneurs, theatre directors, and others.)
Note: Open to sophomores, juniors, and seniors by permission of instructor.

[Engineering Sciences 148. Neural Signal Processing]
Catalog Number: 0495
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Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Examines the generation, transmission, and processing of signals in single nerve cells and in neural ensembles, with emphasis on physical principles and contemporary mathematical models. Develops relevant analytical techniques, including systems theory, filtering, Fourier analysis, stochastic processes, estimation, and network theory. Special attention is given to the physiology of the mammalian visual system.
Note: Expected to be given in 2009–10. Given in alternate years.
Prerequisite: Applied Mathematics 21a or Mathematics 21a and physics at the level of Physics 15b. Engineering Sciences 145 is ideal preparation; MCB 80 may compensate for lesser preparation in mathematics or physics.

Engineering Sciences 149. Neural Control of Movement
Catalog Number: 0440
Maurice A. Smith
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Approaches from robotics, control theory, and neuroscience for understanding biological motor systems. Analytical and computational modeling of muscles, reflex arcs, and neural systems that contribute to motor control in the brain. Focus on understanding how the central nervous system plans and controls voluntary movement of the eyes and limbs. Learning and memory; effects of variability and noise on optimal motor planning and control in biological systems.
Note: Given in alternate years.
Prerequisite: Mathematics 21b or Applied Mathematics 21b or equivalent, probability and statistics, Physics 11a or equivalent.

Engineering Sciences 150. Probability with Applications in Electrical Engineering
Catalog Number: 8997
Navin Khaneja
Half course (spring term). M., W., 2:30–4. EXAM GROUP: 7, 8
An introduction to basic probabilistic ideas that find application in the study of communications and systems. Topics include: random variables, distributions and densities. Probabilistic models in engineering. Markov chains and other discrete time stochastic processes. Conditional probabilities, Bayes’ rule and application to the estimation of the value of a stochastic process. Examples from communication theory; characterization of communication channels. Introduction to decision theory and application to the control of uncertain systems.
Prerequisite: Mathematics 21a or Applied Mathematics 21a, and Mathematics 21b or Applied Mathematics 21b.

Engineering Sciences 151. Electromagnetic Engineering
Catalog Number: 5742
Donhee Ham
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Electromagnetism and its applications in modern science and technology, with special emphasis on wireless and fiber-optic communications. Topics include transmission lines and microwave circuits, Maxwell’s equations, electromagnetic waves in free space, matter, and waveguides, ray optics, and antennae. Applications of electromagnetism in ultra-fast integrated circuits, wireless networking, and radio astronomy are also discussed to place the electromagnetic theory in practical contexts of the present-day science research and communication technology.
Prerequisite: Basic electromagnetism (Physics 11b or 15b or equivalent), basic circuit analysis (Engineering Sciences 50 or Engineering Sciences 154 or equivalent), basic vector calculus (Applied Math 21a or equivalent), basic differential equations (Applied Math 21b or equivalent) and familiarity with Fourier analysis (some part of Applied Math 105a or ES 156 or equivalent).

Engineering Sciences 154. Electronic Devices and Circuits
Catalog Number: 6319
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Half course (fall term). Tu., Th., 2:30–4, and laboratory to be arranged. EXAM GROUP: 16, 17
Analysis and design of electronic circuits using semiconductor devices. Topics include operational amplifier circuits; the physics of semiconductors; models of bipolar and field effect transistors; basic diode and transistor circuits; linear and nonlinear analysis of electronic circuits; computer simulation of electronic circuits with SPICE; analysis of analog circuit designs; digital integrated circuits and logic-families. Additional laboratories illustrate techniques for measurement and design of real electronic circuits.
Prerequisite: Differential equations and Fourier series as in Applied Mathematics 21b or Mathematics 21b, and electricity and magnetism as in Physics 11b or 15b.

Engineering Sciences 156. Signals and Systems
Catalog Number: 6284
Mai H. Vu
Half course (spring term). Tu., Th., 2:30–4, and weekly one hour Matlab section and one hour problem section to be arranged. EXAM GROUP: 16, 17
Time and frequency domain representations and analysis of signals and systems. Convolution and linear input-output systems in continuous and discrete time. Fourier transforms and Fourier series for continuous- and discrete-time signals. Laplace and Z transforms. Analog and digital filtering. Modulation. Sampling. FFT. Applications in circuit analysis, communication, control, and computing.
Prerequisite: Applied Mathematics 21b or Mathematics 21b.

Engineering Sciences 157. Speech and Audio Processing
Catalog Number: 1724
Patrick J. Wolfe
Half course (spring term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Introduction to speech and audio processing, including both mathematical models and practical applications thereof. Time-frequency analysis, synthesis, modification, and coding of information-carrying natural sound signals; relevant aspects of acoustics and auditory perception; fundamental contemporary applications and methodologies.
Prerequisite: Engineering Sciences 156 or equivalent.

[Engineering Sciences 158. Digital Communications]
Catalog Number: 7721
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Half course (fall term). M., W., 1–2:30. EXAM GROUP: 6, 7
Examines the fundamental theories behind modern digital communication systems. Topics include: fundamental limits on communications, channel coding theorem, channel capacity theorem; baseband communications, orthogonal signal bases, matched filter receiver; digital representations of analog signals, sampling; waveform coding; baseband waveform coding; baseband waveform shaping, pulse amplitude modulation and intersymbol interference channels; digital modulation techniques; elements of error-control coding/decoding, viterbi decoding/detection; elements of spread-spectrum communications.
Note: Expected to be given in 2009–10.
Prerequisite: Engineering Sciences 156 and a course in probability theory and/or statistics.

Engineering Sciences 159. Introduction to Robotics
Catalog Number: 3126
Robert J. Wood
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Introduction to computer-controlled robotic manipulators. Topics include coordinate frames and transformations, kinematic structure and solutions, statics and dynamics of serial and parallel chain manipulators, control and programming, introduction to path planning, introduction to teleoperation, robot design, and actuation and sensing devices. Laboratory exercises provide experience with industrial robot programming and robot simulation and control.
Prerequisite: Computer Science 50, and either Engineering Sciences 125 or 156.

Engineering Sciences 162. Hydrology and Environmental Geomechanics
Catalog Number: 4163
James R. Rice
Half course (fall term). M., W., F., at 9, and a 90-minute lab to be arranged. EXAM GROUP: 2
Study of water as a critical resource and as a factor in Earth surface and near-surface processes. Includes development of relevant mechanics and physics. Hydrologic cycle, surface and groundwater, evapotranspiration, soil physics. Flow in porous media, Darcy law, contaminant transport, remediation stragegies. Poroelasticity, subsidence, well hydraulics. Seepage forces, landslides, dam failures, sediment liquefaction. Stream flows, turbulence concepts; gravity waves, flood control; tsunamis; erosion and sediment transport.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b and Physics 11a or 15a.

Engineering Sciences 164. Aqueous and Environmental Chemistry - (New Course)
Catalog Number: 4099
Colleen M. Hansel and Steven C. Wofsy
Half course (fall term). M., W., 1–2:30. EXAM GROUP: 6, 7
Present basic concepts, principles, and applications of environmental chemistry for students in environmental engineering, geology, chemistry, biology and related fields. Goal is to explore and apply the fundamental chemical principles of thermodynamics, kinetics, chemical bonding, and mass transfer to understand Earth processes and solve complex environmental problems. Survey a variety of environmental chemistry topics, including acid-base chemistry, aqueous speciation, solution-mineral-gas equilibria, oxidation-reduction reactions, kinetics, precipitation/dissolution, and atmospheric chemistry.
Note: Cannot be taken for credit by students who have already taken ENG-SCI 264.
Prerequisite: Physical Sciences 1 or permission of the instructors.

Engineering Sciences 165. Introduction to Environmental Engineering
Catalog Number: 4274
Peter P. Rogers
Half course (spring term). M., W., 3:30–5. EXAM GROUP: 8, 9
Introduces engineering technologies for the control of the environment and relates them to underlying scientific principles. Efficient design of environmental management facilities and systems. Cases from aquatic, terrestrial, and atmospheric environments discussed.
Note: For undergraduates or graduates without background in environmental engineering.
Prerequisite: Exposure to the material in Applied Mathematics 21a or 21b or equivalent.

[Engineering Sciences 167. Environmental Assessment]
Catalog Number: 6885
Peter P. Rogers
Half course (fall term). M., W., 3:30–5. EXAM GROUP: 8, 9
Examines the methods and approaches to environmental impact assessment currently being used and new approaches which rely on improved scaling and index development. Models of impact and indices for air, water, and land impacts will be examined using data from Asia and North America. Cost-of-remediation and environmental elasticity indicators will be examined and their use in engineering design and regulation of the environment will be assessed.
Note: Expected to be given in 2009–10.
Prerequisite: Familiarity with the material of Engineering Sciences 6 and Social Analysis 10.

Engineering Sciences 173. Electronic and Photonic Devices
Catalog Number: 3490
Federico Capasso
Half course (fall term). W., F., 1–2:30. EXAM GROUP: 6, 7
Broad course covering the physical foundations of modern electronics and photonics. Basic concepts of solid-state theory and semiconductor physics. P-n junctions. Bipolar Transistors. Field-effect transistors (MOSFET, MESFET, JFET). Semiconductor heterostructures and quantum wells. LEDs and laser diodes. Photodetectors: photodiodes, avalanche photodiodes. Modulators. Quantum Cascade Lasers.
Prerequisite: Physics 11a and b, or Physics 15a and b or equivalent (mechanics; electromagnetism); undergraduate level quantum mechanics.

Engineering Sciences 174. Photonic and Electronic Device Laboratory
Catalog Number: 3178
Kenneth B. Crozier
Half course (spring term). M., at 9, and a weekly 3-hour lab. EXAM GROUP: 2
Physics and fabrication of photonic and electronic devices. Laboratory experiments and lectures on semiconductor lasers, photodetectors and optical fibers. Students use cleanroom to fabricate MOSFETs. Fabrication lectures on lithography, deposition, etching, oxidation, implantation, diffusion and electrical characterization. Suitable for undergraduate and graduate students wishing to gain fabrication experience.
Prerequisite: Physics 11a and Physics 11b; or Physics 15a and 15b.

Engineering Sciences 181. Engineering Thermodynamics
Catalog Number: 3889
Shriram Ramanathan
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Introduction to engineering thermodynamics with emphasis on classical thermodynamics. Topics: zeroth law and temperature. Properties of single-component gases, liquids, and solids; steam tables. Equations of state for ideal and simple nonideal substances. First law, heat and heat transfer, work, internal energy, enthalpy. Second law, entropy, free energy. Third law. Heat engines and important engineering applications such as refrigerators, power cycles. Properties and simple models of solutions. Phase and chemical equilibrium in multicomponent systems; chemical potential. Laboratory included.
Prerequisite: Physics 11 or 15 and Applied Mathematics or Mathematics 21; chemistry at the level of a good secondary school course or Chemistry 5.

Engineering Sciences 190. Introduction to Materials Science and Engineering
Catalog Number: 6973
David J. Mooney
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Introduction to the structure, properties, and applications of materials. Crystal structure and defects. Phase transformations: phase diagrams, diffusion, nucleation and growth. Mechanisms of deformation and fracture. Effect of microstructure on properties. Biological and biomedical materials (proteins, drug delivery devices, medical implants) are extensively used as examples.
Prerequisite: Engineering Sciences 181 or equivalent, Physics 11 or 15, and Applied Mathematics 21a,b or Mathematics 21a,b.

Cross-listed Courses

Earth and Planetary Sciences 133. Atmospheric Chemistry

Primarily for Graduates

Additional courses of interest to graduate students in Electrical Engineering includes Computer Sciences 246r. Additional courses of interest to graduate students in Decision, Control, and Communication include Economics 2010a, 2010b, 2010c, 2120, 2140; Statistics 110, 171.


Engineering Sciences 201. Decision Theory
Catalog Number: 2362
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Half course (spring term). M., W., F., at 10. EXAM GROUP: 3
Mathematical analysis of decision making. Bayesian inference and risk. Maximum likelihood and nonparametric methods. Algorithmic methods for decision rules: perceptrons, neural nets, and back propagation. Hidden Markov models, Blum-Welch, principal and independent components.
Prerequisite: Applied Mathematics 21a,b or Mathematics 21a,b, and Statistics 110 or equivalents.

Engineering Sciences 202. Estimation and Control of Dynamic Systems
Catalog Number: 5080
Roger W. Brockett
Half course (fall term). M., W., 4–5:30. EXAM GROUP: 9
Study of dynamical systems with deterministic and stochastic inputs. Controllability and observability, linear quadratic control, dynamic programming and the Pontryagin maximum principle, Stochastic models and Kalman-Bucy filtering. Applications from engineering and economics.
Prerequisite: Linear differential equations, matrix algebra, and introductory probability as covered in Mathematics 21a, b and Engineering Sciences 150 or equivalents.

[Engineering Sciences 203. Stochastic Control]
Catalog Number: 6982
Roger W. Brockett
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Introduction to the theory of stochastic differential equations based on Wiener processes and Poisson counters, and an introduction to random fields. The formulation and solution of problems in nonlinear estimation theory. The Kalman-Bucy filter and nonlinear analogues. Identification theory. Adaptive systems. Applications.
Note: Expected to be given in 2009–10.
Prerequisite: Applied Mathematics 105a,b or equivalent. Some prior exposure to probability; Engineering Sciences 202 desirable but not essential.

*Engineering Sciences 207. Communicating Science
Catalog Number: 5993 Enrollment: Limited to 20.
Cornelia Dean
Half course (fall term). Th., 1–3. EXAM GROUP: 15, 16
Many important public issues have strong science components but, generally, scientists are missing from public debates. This seminar discusses how the relative silence of scientists weakens our national discourse and encourages participation in this discourse.
Note: Through writing exercises, role playing, and the like, seminar offers practical suggestions on how to communicate scientific information in an engaging and useful fashion.

Engineering Sciences 209. Nonlinear Control Systems
Catalog Number: 1194
Navin Khaneja
Half course (fall term). Hours to be arranged.
Study of nonlinear input-output systems including controllability, observability, uniqueness of models, stability, and qualitative behavior of nonlinear dynamical systems. Differential geometry and Lie theory methods developed to study control of classical and quantum mechanical systems.

[Engineering Sciences 210. Mathematical Programming]
Catalog Number: 5499
Donald G. M. Anderson
Half course (spring term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Introduction to basic optimization techniques. Linear programming: the simplex method and related algorithms, duality theory, interior-point methods. Unconstrained optimization, nonlinear programming, convexity.
Note: Expected to be given in 2009–10. Offered in alternate years.
Prerequisite: Applied Mathematics 21a and 21b, or Mathematics 21a and 21b, and Applied Mathematics 120, or equivalent.

[*Engineering Sciences 211. Cardiac Biophysics]
Catalog Number: 3906
Kevin K. Parker
Half course (fall term). M., 12–2. EXAM GROUP: 5, 6
A quantitative examination of cardiac excitation and excitation-contraction coupling. Cardiac membrane channels, the action potential (Hodgkin-Huxley and Luo-Rudy models), and action potential propagation (cable and bidomain models). Arrhythmias, drugs, and defibrillation.
Note: Expected to be given in 2009–10.
Prerequisite: Electromagnetic field and electric circuit theories, calculus through partial differential equations, cell biology, physiology, and extensive MATLAB programming experience. C programming experience recommended.

[Engineering Sciences 216. Biological Dynamics]
Catalog Number: 8148
L. Mahadevan
Half course (spring term). M., W., 2:30–4. EXAM GROUP: 7, 8
Develops and applies continuum and statistical mechanics to biomechanical phenomena. Molecular, cellular and tissue mechanics. Motors, motility and muscle. Sensory physiology and mechanotransduction. Morphogenesis and development. Animal locomotion. Evolutionary mechanics.
Note: Expected to be given in 2009–10. Given in alternate years.
Prerequisite: Knowledge of undergraduate fluid/solid mechanics (or equivalent courses in physics), differential equations.

[Engineering Sciences 217r (formerly Engineering Sciences 217). Computational Neuroscience]
Catalog Number: 8112
----------
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
A range of current topics in computational neuroscience at the systems level are presented. Discussions include spike trains, point processes, encoding/decoding, information theory, adaptation/plasticity, learning, and neural system identification.
Note: Expected to be given in 2009–10. Given in alternate years.
Prerequisite: Applied Mathematics 105a and 105b or equivalent, linear algebra, probability and statistics. Coursework in signals and systems and/or control would be ideal.

[Engineering Sciences 218. Advanced Neural Signal Processing]
Catalog Number: 7709
---------- and guest lecturers
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Students are expected to meet all of the requirements of Engineering Sciences 148 and in addition are required to write a term paper with significant analytic emphasis.
Note: Expected to be given in 2009–10. Given in alternate years.
Prerequisite: Applied Mathematics 21a or Mathematics 21a and physics at the level of Physics 15b. Engineering Sciences 145 is ideal preparation; MCB 80 may compensate for lesser preparation in mathematics or physics.

Engineering Sciences 220. Fluid Dynamics
Catalog Number: 2759
Howard A. Stone
Half course (fall term). M., W., F., at 9. EXAM GROUP: 2
Vector and tensor calculus. Conservation laws; kinematics and constitutive equations. Exact solutions of the Navier-Stokes equations. Lubrication theory and low Reynolds number flows. Potential flows and boundary layer theory including thermal boundary layers. Turbulence; free-surface flows.
Prerequisite: Familiarity with classical mechanics, partial differential equations, and vector and tensor calculus. An undergraduate course in fluid dynamics is strongly recommended.

[*Engineering Sciences 221. Drug Delivery]
Catalog Number: 8223 Enrollment: Limited to 30.
Debra T. Auguste
Half course (fall term). M., W., 2:30–4. EXAM GROUP: 7, 8
Methods to deliver molecules to the human body. Physiological obstacles and engineering solutions. Characterization techniques for drug delivery synthesis and in vitro analysis. Case studies of current pharmaceutical products.
Note: Expected to be given in 2009–10.
Prerequisite: Mathematics 21a,b or Applied Mathematics 21a,b, and Chemistry 5 or Life Sciences 1a.

*Engineering Sciences 222. Advanced Cellular Engineering
Catalog Number: 0696
Kevin K. Parker
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Students are expected to meet all requirements of Engineering Sciences 122 and to give a presentation on a cellular engineering topic of their choosing, subject to instructor approval, with handouts, homework, and examination questions.
Prerequisite: Inorganic chemistry, cell biology, physics, and mathematics at the level of Applied Mathematics 21 or Mathematics 21. Suggested courses include organic chemistry and molecular biology.

Engineering Sciences 224. Laboratory in Engineering and Physical Biology
Catalog Number: 4136
Nancy Kleckner
Half course (spring term). M., W., 1–5. EXAM GROUP: 6, 7, 8, 9
A project-oriented laboratory course which will integrate genetic, molecular, biochemical and cytological approaches from the life sciences with optical, magnetic and mechanical approaches from the physical sciences. Interesting and original experiments will be organized around a common theme which, this year, will be "Biomechanics of E. coli."
Note: Intended primarily for first year graduate students in the EPB PhD track but available to other graduate students and advanced undergraduates as space and resources permit.

[Engineering Sciences 225r. Special Topics in Fluid Dynamics]
Catalog Number: 3982
L. Mahadevan and Howard A. Stone
Half course (spring term). M., 4–6:30. EXAM GROUP: 9
Will provide an overview of fluid dynamics and transport processes relevant to microfluidics. Topics to be discussed include electrically driven flows, multiphase flows, dispersion, mixing, suspended particles, etc.
Note: Expected to be given in 2009–10.

[Engineering Sciences 226r. Special Topics in Neural Engineering: Learning and Memory in Neural Systems]
Catalog Number: 3086
Maurice A. Smith
Half course (spring term). Tu., 1–4. EXAM GROUP: 15, 16, 17
Course will present classical findings and new research that give insight into mechanisms of learning and memory formation in neural systems. Learning and memory will be studied both as neurobiological phenomenona and as computational challenges.
Note: Expected to be given in 2009–10. Offered in alternate years.
Prerequisite: Applied Mathematics 105a and 105b, probability and statistics.

Engineering Sciences 230 (formerly Engineering Sciences 223). Advanced Tissue Engineering
Catalog Number: 5718
David J. Mooney
Half course (spring term). Tu., Th., 1–2:30, and a weekly lab. EXAM GROUP: 15, 16
Fundamental engineering and biological principles underlying field of tissue engineering, along with examples and strategies to engineer specific tissues for clinical use. Student design teams prepare a research proposal and participate in a weekly laboratory.
Prerequisite: Biochemistry or cell biology background.

Engineering Sciences 239. Advanced Innovation in Science and Engineering: Conference Course
Catalog Number: 8303 Enrollment: Limited to 28.
Thomas C. Esselman
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Students are expected to meet all the requirements of Engineering Sciences 139 and in addition are required to prepare an individual term project with significant analytic emphasis in an area of scientific or technological innovation.

Engineering Sciences 240. Solid Mechanics
Catalog Number: 2984
Zhigang Suo
Half course (fall term). M., W., F., at 10, and a weekly section to be arranged. EXAM GROUP: 3
Foundations of continuum mechanics, development of elasticity theory, and introduction to plasticity and creep. Elastic waves. Basic elasticity solutions. Variational principles.
Prerequisite: Applied Mathematics 105b or equivalent; introduction to solid mechanics at the level of Engineering Sciences 120, or Earth and Planetary Sciences 108 or 166, or Applied Physics 293.

[Engineering Sciences 241. Advanced Elasticity]
Catalog Number: 6711
John W. Hutchinson
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Mechanics of finite deformation; buckling instability. Thermodynamics of continua; thermoelasticity. Basic three-dimensional problems; inclusions and inhomogeneities. Plane elasticity and complex variable methods. Crack solutions. Elastic waves, vibrations.
Note: Expected to be given in 2009–10.
Prerequisite: Engineering Sciences 240 and Applied Mathematics 201 or equivalents.

[Engineering Sciences 242r. Solid Mechanics: Advanced Seminar]
Catalog Number: 5379
John W. Hutchinson
Half course (spring term). Tu., Th., 1:30–3. EXAM GROUP: 15, 16
Topic Spring 2008: Beams, Plates and Shells. Equations governing the linear and nonlinear behavior of these structures will be derived and investigations will be made of how these structures deform, vibrate and buckle.
Note: Expected to be given in 2009–10.
Prerequisite: Engineering Sciences 240 or equivalent.

Engineering Sciences 246. Plasticity
Catalog Number: 4271
Joost J. Vlassak
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Phenomenological theories for strain hardening materials; flow and deformation theories. Variational principles and other general theorems. Mechanisms of plastic deformation, physical theories for strain hardening materials, and polycrystals. Ideal plasticity. Boundary value problems, plastic collapse, buckling of structures.
Prerequisite: Engineering Sciences 240, or equivalent.

[Engineering Sciences 247. Fracture Mechanics]
Catalog Number: 7152
Joost J. Vlassak
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Fundamentals of fracture with applications in materials and structural mechanics. Micromechanics of fracture in ceramics, metals, and polymers. Fracture of composite materials. Interfacial fracture mechanics. Fatigue crack propagation.
Note: Expected to be given in 2009–10.
Prerequisite: Engineering Sciences 240 or equivalent.

Engineering Sciences 249. Advanced Neural Control of Movement
Catalog Number: 3145
Maurice A. Smith
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Students expected to meet all of the requirements of Engineering Sciences 149 and in addition to submit a term project with significant analytic content.
Note: Given in alternate years.
Prerequisite: Mathematics 21b or Applied Mathematics 21b or equivalent, probability and statistics, Physics 11a or equivalent.

Engineering Sciences 250. Information Theory
Catalog Number: 8606
Mai H. Vu
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Entropy and differential entropy, mutual information; data compression; channel capacity, the Gaussian channel; network information theory. Applications in communications, statistics, signal processing, computer sciences, economics, neurology and biology. Contemporary research topics.
Prerequisite: Probability theory in Engineering Sciences 150, Statistics 110, or equivalent; or permission of instructor.

[Engineering Sciences 251r (formerly Engineering Sciences 251). Advanced Topics in Inference, Information, and Statistical Signal Processing]
Catalog Number: 3211
Patrick J. Wolfe
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Advanced machine learning, from the unifying perspective of inference and regularization. Statistical learning theory, kernel methods; connections to information theory and data compression. Model fitting and stochastic computation for high-dimensional and non-Euclidean data.
Note: Expected to be given in 2009–10. Equal emphasis on theory, algorithms, and applications.
Prerequisite: Background equivalent to Computer Science 228, 281, or Engineering Sciences 201, or permission of instructor.

[Engineering Sciences 252. Micro/Nano Robotics]
Catalog Number: 0239
Robert J. Wood
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Motivations and methods for the development of robotic devices on the micro and nano scale. Topics include sensors, actuators, fabrication paradigms, and the physics of scaling. Examples from surgical robotics, mobile microrobots, and micro/nano manipulation.
Note: Expected to be given in 2009–10.

Engineering Sciences 255. Detection and Estimation Theory and Applications
Catalog Number: 9816
Todd Zickler
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Statistical decision theory; hypothesis testing; linear and non-linear estimation; maximum likelihood and Bayes approaches; stochastic processes and systems; signal detection and estimation in noise; Wiener and Kalman filtering; applications to physical, chemical, and biological systems.
Prerequisite: Knowledge of probability theory and calculus.

Engineering Sciences 257. Advanced Speech and Audio Processing
Catalog Number: 5006
Patrick J. Wolfe
Half course (spring term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Students are expected to meet all the requirements of Engineering Sciences 157 and in addition are required to prepare a more substantial term project at a level on par with current research in the field.
Prerequisite: Engineering Sciences 156 or equivalent.

[Engineering Sciences 258. Advanced Digital Communications]
Catalog Number: 8645
----------
Half course (fall term). M., W., 1–2:30. EXAM GROUP: 6, 7
Course requirements are similar to Engineering Sciences 158, with the exception that students enrolled in Engineering Sciences 258 are required to prepare a term project analyzing current research in a specific area of digital communications.
Note: Expected to be given in 2009–10.
Prerequisite: Engineering Sciences 156 and a course in probability theory and/or statistics.

Engineering Sciences 259. Advanced Introduction to Robotics
Catalog Number: 3671
Robert J. Wood
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Course requirements are similar to Engineering Sciences 159, with the exception that students enrolled in Engineering Sciences 259 are required to prepare a term project analyzing current research in a specific problem area within Robotics.
Prerequisite: Computer Science 50 and either Engineering Sciences 125 or 156.

Engineering Sciences 261. Design of Water Resource Systems
Catalog Number: 3919
Peter P. Rogers
Half course (fall term). M., W., 3:30–5. EXAM GROUP: 8, 9
Design of evaluation and management systems for water resources. Uses techniques of operations research for planning integrated water resources systems. Applications to water supply, irrigation hydropower, environmental protection, and conservation of wildlife.
Note: Given in alternate years.
Prerequisite: Applied Mathematics 21b or Mathematics 21b or equivalent.

[Engineering Sciences 262. Advanced Hydrology and Environmental Geomechanics]
Catalog Number: 5658
James R. Rice
Half course (fall term). M., W., F., at 9. EXAM GROUP: 2
A version of Engineering Sciences 162 which is suitable for graduate credit. Has the same class meetings but requires a more demanding set of homework assignments and a class project involving review of a major research area.
Note: Expected to be given in 2009–10. Offered in alternate years.
Prerequisite: Applied Mathematics 105a (may be concurrent) and 105b or equivalent, and an undergraduate background in fluid or solid mechanics.

[Engineering Sciences 263. Applied Microbial Geochemistry]
Catalog Number: 5384
Colleen M. Hansel
Half course (spring term). Th., 2–4:30. EXAM GROUP: 16, 17, 18
Explores microbial diversity, metabolic pathways, and microbially induced chemical reactions involved in cycling and biomineralization of redox-active contaminants, including metals and radionuclides. Application and engineering of microorganisms for environmental remediation will be discussed.
Note: Expected to be given in 2009–10.
Prerequisite: Knowledge of undergraduate level redox chemistry and microbiology required (minimum of Life Sciences 1a and Physical Sciences 1 or equivalent courses) or permission of instructor.

Engineering Sciences 264. Advanced Aqueous and Environmental Chemistry - (New Course)
Catalog Number: 1726
Colleen M. Hansel and Steven C. Wofsy
Half course (fall term). M., W., 1–2:30. EXAM GROUP: 6, 7
Content and requirements are similar to ES 164, with the exception that students enrolled in ES 264 are assigned more demanding problem sets and are required to prepare a term project or presentation in applied environmental chemistry.
Note: Cannot be taken for credit by students who have already taken ENG-SCI 164
Prerequisite: Physical Sciences 1 or permission of the instructors.

Engineering Sciences 267. Aerosol Science and Technology - (New Course)
Catalog Number: 4446
Scot T. Martin
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Physics and chemistry of aerosol particles. Concepts: size, shape, and density; number size distributions; uniform, accelerated, and Brownian motion; electrical properties; measurement instrumentation; condensation/evaporation; coagulation; and optical properties. Taught by reference to topical problems.
Note: Given in alternate years.

[Engineering Sciences 268. Environmental Chemical Kinetics]
Catalog Number: 8711
Scot T. Martin
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Time rate of change of chemical species in environmental systems. Measure rate constants. Linear free energy relationships and structural contributions to estimate unknown rate constants. Formulating a coupled chemical system. Numerical analysis of complex systems.
Note: Expected to be given in 2009–10. Given in alternate years.

Engineering Sciences 271r. Topics in Mixed-Signal Integrated Circuits
Catalog Number: 1158
Gu-Yeon Wei
Half course (fall term). M., W., 4:30–6. EXAM GROUP: 9
Reviews research and development of various topics in mixed-signal integrated circuits and systems. Optics in 2006: High-speed wireline transceivers. Investigate modulation, equalization, clocking techniques, and design of high-speed, low-power building blocks.
Prerequisite: Computer Science 148 or Computer Science 248 or equivalent, and Engineering Sciences 154 or equivalent, or with permission of instructor.

Engineering Sciences 272. RF and High-Speed Integrated Circuits
Catalog Number: 5157
Donhee Ham
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Analysis and design of RF and high speed integrated communication circuits at both transistor and system levels. Emphasis on intuitive design methods, physical understanding, analytical and simulational performance evaluation, and practical technology limitations.
Prerequisite: Solid-state devices and analog circuits (Engineering Sciences 154 or equivalent), basic electromagnetism (Physics 11b or 15b or some part of Engineering Sciences 151 or equivalent), basic differential equations (Applied Mathematics 21b or equivalent), and Fourier analysis (some part of Applied Mathematics 105a or Engineering Sciences 156 or equivalent).

Engineering Sciences 273. Optical Structures for Photon Confinement
Catalog Number: 8382
Marko Loncar
Half course (fall term). M., W., 1–2:30. EXAM GROUP: 6, 7
Optical structures that enable localization of photons: optical resonators,waveguides, fibers, photonic crystals, plasmons, meta-materials; nanoscalelight emitters; interaction between light and matter; single-photon sources,threshold-less nanolasers, optical filters and switches; nonofabrication techniques.
Note: Open to graduate students and advanced undergraduates.
Prerequisite: Familiarity with undergraduate level electromagnetics (e.g. EngineeringSciences 151), solid-state physics (e.g. Applied Physics 195), and quantum mechanics (e.g. Physics 143a).

Engineering Sciences 274. Quantum Technology I
Catalog Number: 5645
Federico Capasso
Half course (spring term). W., F., 1–2:30. EXAM GROUP: 6, 7
The focus is on devices based on bandstructure engineering that have impacted photonics and communications. Semiconductor heterostructures. Quantum size effect; tunneling; superlattices; excitons; quantum confined Stark effect. Quantum well lasers; modulators. Quantum Cascade Lasers.
Prerequisite: Undergraduate level quantum mechanics such as Physics 143a or equivalent. Familiarity with basic solid-state physics (Applied Physics 195 or equivalent), semiconductor physics and electronic devices (Applied Physics 282, Engineering Sciences 154 or equivalent).

Engineering Sciences 275. Nanophotonics
Catalog Number: 9815
Kenneth B. Crozier
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Recent developments in micro- and nano-photonic materials, devices and microscopy. Computational electromagnetics. Photonic crystals. Optical properties of metal nanostructures. Scanning near-field optical microscopy. Term-long research project.
Note: Open to graduate students and advanced undergraduates.
Prerequisite: Electromagnetism (Physics 11b or 15b or Engineering Sciences 151 or equivalent).

Engineering Sciences 299r. Special Topics in Engineering Sciences
Catalog Number: 6710
Howard A. Stone
Half course (fall term; repeated spring term). Hours to be arranged.
Supervision of experimental or theoretical research on acceptable engineering and applied science problems and supervision of reading on topics not covered by regular courses of instruction.
Note: Open to graduate students and AB/SM candidates only. Students must arrange such work with a member of the School of Engineering and Applied Sciences. This course is graded and is ordinarily taken with the approval of the Committee on Higher Degrees. Applicants must file a project sheet before study cards are filed. Project sheets may be obtained from the Academic Office, Pierce Hall 110.

Cross-listed Courses

*Earth and Planetary Sciences 231. Climate Dynamics

Additional courses of interest to graduate students in Environmental Science and Engineering might include courses offered at the Harvard School of Public Health.


Graduate Courses of Reading and Research

Reading courses are odd-numbered; research courses are even-numbered.

*Engineering Sciences 301,302. Nanophotonics
Catalog Number: 7403,4838
Kenneth B. Crozier 5146

*Engineering Sciences 303,304. Topics in Electronic Materials and Semiconductor Heterostructure Physics
Catalog Number: 8668,2824
Venkatesh Narayanamurti 5445

*Engineering Sciences 305,306. Manufacturing to Satisfy Stochastic Demand
Catalog Number: 6157,6159
Frederick H. Abernathy 1047

*Engineering Sciences 307,308. Control Theory, Robotics, Computer Vision, and Intelligent Machines
Catalog Number: 7566,2719
Roger W. Brockett 3001 (on leave spring term)

*Engineering Sciences 309,310. Design, Sensing, and Control
Catalog Number: 5043,7419
Robert D. Howe 2789

*Engineering Sciences 311,312. Systems and Control, Quantum Information and Quantum Control, Computational Vision, Image Analysis and Understanding
Catalog Number: 2025,9377
Navin Khaneja 4192

*Engineering Sciences 313,314. Image Processing and Computer Vision
Catalog Number: 4254,8534
Todd Zickler 5143

*Engineering Sciences 315,316. Wireless Computing and Networking
Catalog Number: 2848,2849
H. T. Kung 3155

*Engineering Sciences 319,320. Microrobotics and Bio-inspired Autonomous Robotic Systems
Catalog Number: 5306,5314
Robert J. Wood 5339

*Engineering Sciences 323,324. Statistical Signal Processing
Catalog Number: 1174,5484
Patrick J. Wolfe 5144

*Engineering Sciences 325,326. Mixed-Signal VLSI Design
Catalog Number: 8415,9336
Gu-Yeon Wei 4102

*Engineering Sciences 327,328. Circuit Design and Scientific Instrumentation
Catalog Number: 4901,6521
Paul Horowitz 3537

*Engineering Sciences 329,330. Wireless Communication and Networking
Catalog Number: 4111,7427
Vahid Tarokh 4368

*Engineering Sciences 331,332. RF/Microwave/Analog/Mixed-Signal Integrated Circuits and Ultrafast Electronics
Catalog Number: 9645,9655
Donhee Ham 4519

*Engineering Sciences 333,334. Mechanics and Materials in Small Structures
Catalog Number: 6528,5449
Zhigang Suo 4761 (on leave spring term)

*Engineering Sciences 335,336. Mechanics of Engineering Materials and Small Devices
Catalog Number: 8173,2399
Joost J. Vlassak 3184

*Engineering Sciences 337,338. Mechanics of Solids and Fluids: Earthquake Seismology and Environmental Geomechanics
Catalog Number: 4316,3948
James R. Rice 7270

*Engineering Sciences 341,342. Special Topics in Fluid Dynamics
Catalog Number: 2231,2237
Howard A. Stone 2073 (on leave spring term)

*Engineering Sciences 343,344. Deformation and Fracture of Materials
Catalog Number: 3907,2803
John W. Hutchinson 1573

*Engineering Sciences 345,346. Neural Control of Movement
Catalog Number: 6002,6007
Maurice A. Smith 5342

*Engineering Sciences 351,352. Engineering Mammalian Cell Phenotype
Catalog Number: 4879,6421
David J. Mooney 4879

*Engineering Sciences 353,354. Cellular Biophysics
Catalog Number: 3813,3798
Kevin K. Parker 4788

*Engineering Sciences 357,358. Atmosphere-Biosphere Interactions
Catalog Number: 7661,8060
Steven C. Wofsy 4396

*Engineering Sciences 359,360. Stratospheric Chemistry and Transport
Catalog Number: 8410,6856
Steven C. Wofsy 4396

*Engineering Sciences 361,362. Atmospheric Chemistry
Catalog Number: 7238,7514
Daniel J. Jacob 1781

*Engineering Sciences 363,364. Dynamic Meterology
Catalog Number: 3756,3757
Brian F. Farrell 7628

*Engineering Sciences 365,366. Topics in Atmospheric and Climate Dynamics
Catalog Number: 3233,3236
Zhiming Kuang 5285

*Engineering Sciences 367,368. Environmental Science
Catalog Number: 6773,9810
Michael B. McElroy 2462

*Engineering Sciences 369,370. Urban and Regional Systems Analysis
Catalog Number: 8775,8768
Peter P. Rogers 2804

*Engineering Sciences 371,372. Environmental Microbiology
Catalog Number: 6258,3885
Colleen M. Hansel 5609

*Engineering Sciences 375,376. Environmental Biology
Catalog Number: 3985,2863
Ralph Mitchell 1587

*Engineering Sciences 377,378. Transport Phenomena and Biomaterials for Drug Delivery
Catalog Number: 6385,8671
David A. Edwards 3919

*Engineering Sciences 379,380. Biomaterials
Catalog Number: 2354,0313
Debra T. Auguste 5615

*Engineering Sciences 389,390. Environmental Chemistry
Catalog Number: 6660,1639
Scot T. Martin 3365

*Engineering Sciences 393,394. Microelectronics and VLSI Systems
Catalog Number: 6037,6056
Woodward Yang 2790

*Engineering Sciences 395,396. Nanoscale Optics, NEMS and Nanofabrication Technology
Catalog Number: 2564,3687
Marko Loncar 5703